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arXiv 1402.5199quant-ph
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将量子宇宙嵌入经典宇宙

Embedding Quantum Universes into Classical Ones

Cristian S. Calude, Peter H. Hertling, Karl Svozil

摘要:

量子逻辑的偏序和正交格运算是否与经典逻辑的逻辑蕴涵和联结词相对应?换句话说,从原则上讲,对量子力学的经典理解可能有多远?Kochen和Specker的一个著名结果否定地回答了上述问题。然而,这个答案只是众多可能性中的一个,并非都是否定的。我们的目的是讨论上述问题的量子世界到经典世界的映射,更具体地说,在嵌入的量子逻辑到经典逻辑;根据对嵌入的限制类型,这个问题可能得到否定或肯定的答案。

英文摘要:

Do the partial order and ortholattice operations of a quantum logic correspond to the logical implication and connectives of classical logic? Re-phrased, how far might a classical understanding of quantum mechanics be, in principle, possible? A celebrated result by Kochen and Specker answers the above question in the negative. However, this answer is just one among different possible ones, not all negative. It is our aim to discuss the above question in terms of mappings of quantum worlds into classical ones, more specifically, in terms of embeddings of quantum logics into classical logics; depending upon the type of restrictions imposed on embeddings the question may get negative or positive answers.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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